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4MA1/1H Jun 2022, Question 1: Linear Sequences and Common Difference

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 3 marks

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The question, in short

Given the arithmetic sequence 1, 5, 9, 13, 17, find a formula for its nth term, then use the rule 3n + 5 for a second sequence to express its (2m)th term.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 2 marks

Work out a formula involving n that produces the nth term of the sequence 1, 5, 9, 13, 17.

  1. 15 − 1 = 4
  2. 29 − 5 = 4
  3. 3common difference is 4
  4. 4first term is 1
  5. 5nth term = 4n + k
  6. 61 = 4(1) + k
  7. 7k = 1 − 4 = −3
  8. 8nth term = 4n − 3

Answer4n − 3

Part (b) · 1 mark

For a sequence whose nth term is 3n + 5, write the (2m)th term as an expression in m.

  1. 1nth term = 3n + 5
  2. 2replace n with 2m
  3. 3(2m)th term = 3(2m) + 5
  4. 46m + 5

Answer6m + 5

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